Method and apparatus for estimating a mechanical property

ABSTRACT

A method for supervising a process for producing a metal alloy object with a known chemical composition. A resistivity of the metal alloy object is determined. A content of dissolved alloying elements in the metal alloy object is estimated based on the determined resistivity and the chemical composition of the metal alloy object. A content of precipitated alloying elements in the metal alloy object is estimated based on the determined resistivity and the chemical composition of the metal alloy object. The production process is supervised based on a ratio between the estimated content of dissolved alloying elements and the estimated content of precipitated alloying elements.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a divisional application of co-pending U.S. patentapplication Ser. No. 12/084,973 filed May 14, 2008, and claims priorityto U.S. provisional patent application 60/737,378 filed 17 Nov. 2005 andSwedish patent application 0502505-1 filed 14 Nov. 2005 and U.S. patentapplication Ser. No. 12/084,973 was the national phase under 35 U.S.C.§371 of PCT/SE2006/050444 filed 31 Oct. 2006.

FIELD OF THE INVENTION

The present invention relates to an estimation of one or more internalmechanical properties of a metal alloy object with a known chemicalcomposition based on the resistivity of the metal alloy. In particularit relates to estimation of the strength of the metal alloy object. Theinvention is useful in connection with production of any type of objectmade of a metal alloy. The production can be continuous, semi-continuousor piece-by-piece. The invention is particularly useful in connectionwith continuous production of alloy strips, sheets rods, bars andsimilar products.

PRIOR ART

When it comes to the production of objects made of a metal alloy, thereare two important properties that influence the quality of the producedobject: the dimensions of the object, such as the thickness of a flatobject or the diameter of a round object, and the internal mechanicalproperties, such as the tensile strength, the yield strength, and theelongation of the metal alloy object. The yield strength of the metalalloy is defined as the maximum force that can be applied to the metalalloy object, before it becomes deformed. The tensile strength isdefined as the maximum force that can be applied to the metal alloyobject before it breaks. The elongation is defined as the amount oflengthening of the metal alloy object before it breaks, when a pullingforce is applied to the object. The tensile strength, the yieldstrength, and the elongation of the metal alloy reflect the strength ofthe object. Thus, the internal mechanical properties of an objectreflect the quality of the object.

Today it is possible to continuously measure the dimension thickness ofa rolled flat metal alloy object, such as a strip or a sheet, in arolling mill, and to control the thickness of the sheet in dependence onthe measured thickness and a desired value of the thickness, in order toimprove the accuracy of the accomplished thickness of the sheet. Thesame is valid for a metal alloy with round or rectangular cross section,as a bar or a rod, regarding the dimension diameter or side.

Today, for controlling the strength of the alloy object, a sample of theobject is taken and analyzed off-line by means of laboratory equipment.This method is troublesome and time consuming. Due to end phenomenaduring casting of the object, the thermal conditions will differ betweenthe ends of the object and the rest of the object. Those differences mayaffect the strength of the object, in particular for sensitive alloys,such that the strength at the ends will differ from the strength in therest of the object. A problem in connection with this is that, due tobetter accessibility, the test samples usually are taken at the ends ofthe alloy object, which means that the result of the strength analysismay be misleading.

Accordingly, today it is not possible to continuously, duringproduction, in a contactless way measure the strength of a metal alloyobject. However, it is a desire to be able to do that, for example inorder to be able to control the strength of the alloy object duringproduction thereof.

In the document U.S. Pat. No. 4,947,117 it is stated that theconductivity is directly related to a material's ultimate strength.However, the relation between the conductivity and strength of an objectis more complicated than that.

OBJECTS AND SUMMARY OF THE INVENTION

The object of the present invention is therefore to provide anattractive and general solution, which alleviates the problems above,and thus makes it possible to estimate and/or supervise the internalmechanical properties of a metal alloy object during production thereof,without interfering with the production.

According to one aspect of the invention, this object is achieved with amethod. The method comprises determining the resistivity of the metalalloy object, calculating the content of dissolved alloying elements inthe metal alloy based on the measured resistivity and the known chemicalcomposition of the metal alloy, and based thereon calculating at leastone internal mechanical property of the metal alloy.

Since conductivity is the inverted resistivity, it is to be understoodthat the conductivity could be used as well as the resistivity tocalculate the internal mechanical properties of the metal alloy. Theresistivity, or the conductivity, of the object is measured. Determiningthe resistivity also includes the possibility to measure theconductivity and use the conductivity to calculate the internalmechanical properties of the metal alloy.

A metal alloy includes a main phase where a main metal component isdominating and one or more alloying elements are dissolved. The maincomponent is for instance aluminum, iron or copper. The alloyingelements are in lower content than the main component and are, forinstance one or more of the following substances, iron, chromium,nickel, manganese, magnesium and zinc. A metal alloy further often alsoincludes phases not dissolved in the main component, but precipitated asseparate phases. Those precipitated phases are characterized asintermetallic phases if they have metallic character and can contain themain component and the alloying elements.

By dissolved alloying elements in the metal alloy is meant the alloyingelements dissolved in the main phase. The content of dissolved alloyingelements in the metal alloy object is, for example, calculated aspercentage by volume, percentage by weight, or atomic percentage inrelation to the whole alloy object. Alternatively, the content ofdissolved alloying elements in the metal alloy could be calculated aspercentage in relation to the main phase. The content of dissolvedalloying element in the alloy is calculated for each alloying element,and the internal mechanical property of the metal alloy is determinedbased on the content of dissolved alloying element for each of thealloying elements.

The relation between the amounts of alloying elements dissolved in themain component and as precipitated intermetallic phase affects theinternal mechanical properties of the metal alloy. The invention usesthe fact that the internal mechanical properties of the metal alloydepend on the content of dissolved alloying elements in the metal alloyand the chemical composition of the metal alloy. Since the content ofdissolved alloying elements in the metal alloy depends on the content ofprecipitated alloying elements in the alloy and the total amount ofalloying elements in the alloy, it is possible to use the content ofprecipitated alloying elements in the alloy for calculating the contentof dissolved alloying elements in the alloy. Thus, when in thisapplication it is referred to the content of dissolved alloyingelements, it is to be understood that the content of precipitatedalloying elements could be used as well, if an adjustment of thecalculation is made.

A prerequisite for the method according to the invention is that thechemical composition of the metal alloy object, i.e. the amount ofalloying substances in the metal alloy, is known beforehand. Normally,this is known by a chemical analysis of the metal alloy object.

The invention makes it possible to estimate the internal mechanicalproperties of a metal alloy object based on a measured resistivity orconductivity. It is no longer necessary to rely on laboratory tests onremoved samples from the object. The method according to the inventionis fast and easy to use. The invention makes it possible to immediatelyprovide an operator of a production process with information of theinternal mechanical properties of the produced object and thereby of thequality of the object. As the operator receives information about thequality of the object during production of the object, it is possiblefor the operator to control the further processing of the object so thata desired quality of the object is achieved. Another advantage with themethod according to the invention is that it is possible to check thequality of the entire object, and not just a sample test.

According to an embodiment of the invention, the resistivity of thealloy object is continuously, or at least repeatedly, measured duringproduction of the object, and the internal mechanical property of theobject is repeatedly calculated based thereon. This embodiment makes itpossible to continuously supervise and/or control the quality of theproduced objects. The continuous estimation of the internal mechanicalproperties is a prerequisite for control of the quality.

According to an embodiment of the invention, the metal alloy objectundergoes a certain degree of thickness reduction during production ofthe object, and the internal mechanical property of the metal alloyobject is calculated based on the degree of reduction. During productionof some alloy objects, the objects pass through a process step thatreduces the thickness of the object, for example rolling of the object.The internal mechanical properties of an alloy object depend on thedegree of thickness reduction, which the object has gone through duringproduction thereof. In this embodiment, the internal mechanicalproperties are calculated with regard to the thickness reduction of theobject. Thereby, the estimation of the internal mechanical property isimproved.

According to an embodiment of the invention, the method comprises:receiving the temperature of the metal alloy object, calculating theresistivity at a given reference temperature based on the temperature ofthe object and the measured resistivity, and calculating the content ofdissolved alloying elements in the metal alloy based on the resistivityat the reference temperature. Preferably, the reference temperature isclose to room temperature. For example, the reference temperature is inthe interval of 15-30° C. The resistivity depends strongly on thetemperature of the measured object. According to this embodiment, themeasured resistivity is recalculated to the resistivity at a givenreference temperature, before it is used in further calculations.Thereby, the temperature dependence of the resistivity is removed andthe estimation of the internal mechanical property is improved.

According to an embodiment of the invention, the content of dissolvedalloying elements in the metal alloy object is calculated by means ofthermodynamic calculations. These calculations are carried out toachieve possible content of dissolved alloy elements depending upon avariable equilibrium temperature. Thus, using thermodynamic calculationsmakes it possible to express the content of a multitude of dissolvedalloy components with only one parameter, the equilibrium temperature.It is also convenient to use thermodynamic calculations to calculate thecontent of dissolved alloying elements in the alloy object, sincecommercially available computing programs can be used to carry out thecalculations.

According to an embodiment of the invention, the content of dissolvedalloying elements in the metal alloy is calculated based on a firstmathematical relationship between the resistivity in the metal alloy,the content of dissolved alloying elements in the metal alloy, and theknown chemical composition of the metal alloy, and a second mathematicalrelationship between the content of a dissolved alloying element in themetal alloy, the known chemical composition of the metal alloy, and anequilibrium temperature. The equilibrium temperature is iterativelycalculated based on the first and second mathematical relationships, andthe content of dissolved alloying elements in the metal alloy iscalculated based on the calculated equilibrium temperature and thesecond mathematical relationship.

According to an embodiment of the invention, the calculated internalmechanical property reflects the strength of the metal alloy object.Mechanical properties that reflect the strength of the metal alloyobject are, for example, the tensile strength, the yield strength, andthe elongation of the object. The desired internal strength property iscalculated based on the calculated content of dissolved alloyingelements in the metal alloy, and the internal strength property of themain component of the alloy, for example, the tensile strength of themain component, or the yield strength of the main component. The tensilestrength and the yield strength of the main component are known, forexample, from published tables.

According to an embodiment of the invention, the resistivity of themetal alloy object is measured by means of a contactless measuringmethod. For example, the resistivity is measured by a technology usingPulsed Eddy Currents (PEC). The contactless measuring makes it possibleto estimate the internal mechanical properties of an object in motion,such as a moving strip, bar, wire or similar in a rolling mill or anyother continuous metal working process. The object in motion could alsobe a wire, rod or a tube in a drawing process.

According to an embodiment of the invention, the method furthercomprises calculating the content of precipitated alloying elements inthe metal alloy object, and based thereon calculating at least oneinternal mechanical property of the metal alloy object. For example, thecontent of precipitated alloying elements is calculated as thedifference between the known content of metal alloying elements in thealloy object and the calculated content of dissolved alloying elementsin the alloy object. Often the mechanical properties of the alloy objectare determined only by the conditions in the main phase, but in somecases also the precipitated phases affects the mechanical properties. Inthese cases also the amount of precipitated phases should be determined.This embodiment also considers the influence on the internal mechanicalproperties arising from precipitated alloying elements in the alloy.Thus, the accuracy of the estimation of the mechanical properties isimproved.

According to an embodiment of the invention, the method comprises:calculating the content of dissolved and/or precipitated alloy elementsand based thereon calculating at least one internal mechanical propertyof a specific metal alloy, in a calibration step comparing thecalculated value for a specific sample with a measured value of theinternal mechanical property on the same sample in a mechanical test,and adjusting the calculated values in accordance to the measured value.A calculated and a measured mechanical value of the same specific sampleare used to provide a calibration factor. The adjustment could either bedone by multiplying the calculated values by the calibration factor orby adding the calibration factor to the calculated values. Thus, acalibration factor, calculated based on a calculated and a measuredvalue of the same specific sample, is used in order to calibrate theestimation of the mechanical properties and thereby to improve futureestimations.

According to an embodiment of the invention, the method furthercomprises supervising the quality of the produced object based on thecalculated internal mechanical property of the object. This embodimentis particularly useful for supervising the quality of a moving alloyobject, such as an aluminum alloy sheet or strip, during production ofthe object. This embodiment makes it possible to supervise the qualityof an object during production thereof, and accordingly take measures ifthe quality is not satisfactory, thereby improving the quality of theproduced object.

According to an embodiment of the invention, the internal mechanicalproperty of the object is continuously, or at least repeatedly,calculated during production of the object, and the method furthercomprises: continuously or at least repeatedly adjusting the productionprocess in accordance with the estimated property of the object in orderto improve the quality of the produced object. This embodiment makes itpossible to continuously control a production process for producingmetal alloy objects with regard to an estimated internal mechanicalproperty of the produced object, and thereby improve the quality of theproduced object.

According to an embodiment of the invention, the internal mechanicalproperty of the object is continuously or at least repeatedly calculatedduring production of the object, and the method further comprises:calculating a degree of heating of the alloy object based on thecalculated mechanical property, and heat treating the alloy object inaccordance with the calculated degree of heating. The degree of heatingis, for example, the temperature and time of the heat treatment. Thisembodiment makes it possible to determine an optimized degree of heattreatment for an individual object, or part of the object, duringproduction of the object, in order to improve the quality of theproduced object.

It is easy to realize that the method according to the invention issuitable for execution by a computer program having instructionscorresponding to the steps in the inventive method when run on aprocessor unit.

According to a further aspect of the invention, the object is achievedby a computer program directly loadable into the internal memory of acomputer or a processor, comprising software code portions forperforming the steps of the method when the program is run on acomputer. The computer program is provided either on a computer-readablemedium or through a network.

According to another aspect of the invention, the object is achieved bya computer readable medium having a program recorded thereon, when theprogram is to make a computer perform the steps of the method and theprogram is run on the computer.

According to another aspect of the invention, this object is achieved byan apparatus.

Such an apparatus comprises a device for measuring the resistivity ofthe metal alloy object, and computation unit adapted to calculate thecontent of dissolved alloying elements in the metal alloy object basedon the measured resistivity and the known chemical composition of themetal alloy, and based thereon to calculate at least one internalmechanical property of the metal alloy object. The device for measuringthe resistivity of the metal alloy object could as well measure theconductivity of the metal alloy object and use the measured conductivityto calculate the internal mechanical properties of the metal alloy.

According to another aspect of the invention, this object is achieved bya method for supervising a process for producing a metal alloy objectwith a known chemical composition.

This method comprises determining the resistivity of the metal alloyobject, estimating the content of dissolved alloying elements in themetal alloy object based on the determined resistivity and the chemicalcomposition of the metal alloy object, estimating the content ofprecipitated alloying elements in the metal alloy object based on thedetermined resistivity and the chemical composition of the metal alloyobject, and supervising the production process based on the ratiobetween the estimated content of dissolved alloying elements and theestimated content of precipitated alloying elements. As the ratiobetween the contents of dissolved alloying elements and precipitatedalloying elements reflects the internal mechanical properties of themetal alloy, it is possible to supervise the production process based onfluctuations in the ratio between the contents of dissolved andprecipitated alloying elements in the produced object. For example, thesupervision can be done automatically by means of a computer program,and an operator is notified upon detection of fluctuations in the ratiobetween the contents of dissolved and precipitated alloying elements.

According to an embodiment of the invention, the estimated contents ofdissolved and precipitated alloying elements in the metal alloy objectare presented to the operator. It is convenient for the operator if theratio between the estimated content of dissolved and precipitatedalloying elements is calculated and presented to the operator. Thereby,it is possible for the operator to notice changes in the ratio and thusto detect if something is wrong with the process.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention will now be explained more closely by the description ofdifferent embodiments of the invention and with reference to theappended figures.

FIG. 1 shows a disturbance on a lattice of a main component caused by asolute alloy atom.

FIG. 2 shows the relation between change in conductivity and maximumsolubility.

FIG. 3 shows a metal alloy object with alloying elements in main andprecipitated phase.

FIG. 4 shows an apparatus for estimating internal mechanical propertiesof a metal alloy object according to an embodiment of the invention.

FIG. 5 shows a stretching machine for producing an alloy strip.

FIG. 6 shows a method for estimating internal mechanical properties of ametal alloy object according to an embodiment of the invention.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS OF THE INVENTION

The present invention provides a possibility to predict internalmechanical properties from an electrical property, e.g. the resistivity.The general reason for the relation between electrical and mechanicalproperties is hidden in the crystals. Strain in the crystals structurewill cause disturbances in the electron conduction bands. If, forinstance, a foreign atom is dissolved in a metal, this might cause amajor disturbance. This is illustrated in FIG. 1. For example, amanganese atom dissolved in aluminum causes great disorder in thesurrounding aluminum mass, and thereby strains, which lead todestruction of the conduction bands of the electrons. The surroundingsof the dissolved atom will become almost electrically non-conducting.Alloying elements such as iron, tin and chromium cause the same type ofconditions in copper, as manganese in aluminum.

In general it can be said that the more disturbance a solute atom willcause, the more change in conductivity this specific element will cause.An element that dissolves easily within the main component, as forinstance magnesium in aluminum, causes a relatively small change inconductivity, whereas an element that dissolves only with difficulty, asmanganese in aluminum, causes a relatively considerable change inconductivity. So this means that the conductivity tells us somethingabout the appearance of the diagram, as illustrated in FIG. 2.

This opens for a use of electrical conductivity as a measure of thecondition inside the metal. In alloys where an alloying element is notcompletely soluble, the alloy can either be found in solid solution orprecipitated in a separate phase. FIG. 3 shows a metal alloy objectincluding a main phase 1 with alloying elements dissolved in a maincomponent, and a plurality of precipitated alloy elements 2 in aprecipitated phase.

Due to the present invention, using available knowledge of thethermodynamics of the alloy, the actual analysis of the object and aconductivity or resistivity measurement,. the amount of dissolved andprecipitated alloy can be calculated. This is an important factor whentrying to predict the internal mechanical behavior of a metallicmaterial. As this distribution is depending upon the heat treatmenthistory it is often difficult to predict by other means.

For example, the invention could be applied on an alloy object havingaluminum as main component, and manganese, silicon and magnesium asalloying elements. The mechanical behavior of aluminum is generally astrong function of the conditions in the main phase. Therefore we oftenwill see a direct relation between mechanical properties andconductivity. Here the resistivity (=1/conductivity) is used asparameter. Mathematical models describing the mechanical behavior ofdifferent metal alloys are built based on calculated conditions in themetal, amount of dissolved alloying elements, amount and composition ofprecipitates. When a model has been built, it is possible to predictinternal mechanical properties from resistivity measurement, chemicalanalysis and thickness reduction.

FIG. 4 shows an apparatus for estimating one or more internal mechanicalproperties of a metal alloy object 3 according to an embodiment of theinvention. The metal alloy object 3 is, for ex ample, a metal sheetduring rolling. The apparatus comprises a measuring device 4 formeasuring the resistivity of the metal alloy object 3. Preferably, themeasuring device 4 carries out an inductive measuring of theresistivity, for example as described in patent document U.S. Pat. No.5,059,902. The measuring device 4 comprises coils arranged around theobject 3. The coils are adapted to generate a magnetic field in theobject. This magnetic field interacts with the object and causes achange in the field. The coils measure this change. The electricresistivity in the object is determined based on the measured changes inthe magnetic field. This technique is called Pulsed Eddy Current (PEC).This technology makes it possible to contactlessly measure theresistivity.

A main problem when trying to measure the electrical resistivity in-lineis the temperature. if the resistivity measurement is to be used fordetermining a property of the material, the temperature dependence ofthe resistivity has to be eliminated. The resistivity strongly dependson the temperature of the measured object. Accordingly, the measuredresistivity has to be recalculated to a given reference temperature, forexample to 20° C. For this purpose, the apparatus comprises atemperature measuring device 5 adapted to measure the temperature in thealloy object. Preferably, the temperature of the object should bemeasured with at least an accuracy of 1° C.

The temperature measuring device 5 is adapted to measure the temperatureand the temperature gradient in the air above the object, as well as thedistance to the object. With this information, and a special calibrationprocedure, it is possible to measure the object temperature better than1° C. With the object temperature and the measured resistivity, theresistivity at 20° C. is calculated. Alternatively, it is also possibleto use other types of temperature measuring devices, for example aninfrared sensor.

The recalculation of the resistivity to the given reference temperatureis made by the following expression:

ρ_(RT)=ρ_(M)−ρ_(Bas)*α*(T−T _(R))   (1)

where,

-   -   ρ_(RT)=resistivity at reference temperature,    -   ρ_(M)=measured resistivity,    -   ρ_(Bas)=resistivity of the main component,    -   α=a constant factor describing the temperature dependence of the        main component,    -   T=the measured temperature, and    -   T_(R)=the reference temperature.

The apparatus further comprises a computation unit 4 in which allcalculations are made. The computation unit is for example a computerincluding processing means, such as a central processing unit (CPU),memory means for storing calculation programs and other data necessaryfor the calculations, and necessary input and output means. Thecomputation unit 4 receives temperature measurements T from thetemperature measuring device 5 and resistivity measurement ρ_(m) fromthe resistivity measuring device 4. The computation unit 4 also receivesthe chemical composition of the alloy object, including the content %Me₁-% Me_(n) of alloying elements in the main component. % Me_(n) is thepercentage by weight or volume, or atomic percentage of the alloyingelements in relation to the whole object. n=the number of alloyingelements in the alloy object. The number n of alloying elements in theobject can be one or a plurality. The content of alloying elements inthe alloy object is received from an analysis of the object. For eachalloying element, the content typically is 1%, and accordingly thecontent of alloying elements is low in relation to the content of themain component.

In order to determine the internal mechanical properties of the metalalloy object, the content of dissolved alloying element has to bedetermined. In the following examples, the content of dissolved andprecipitated alloying elements in the metal alloy object is calculatedas percentage in relation to the whole alloy object. A basic problem,when trying to determine how much of an alloying element is dissolvedand how much is precipitated, is that the relation between the contentof dissolved and precipitated alloying element on the one hand dependson the interaction with the other alloying elements in the alloy, and onthe other hand depends on the temperature. In an alloy that consists ofmany alloying elements, for example 5-10, the conditions become verycomplicated. All alloying elements interact more or less with each otherand affect the degree of solubility. However, even for alloys consistingof many alloying elements, it is possible to calculate the degree ofsolubility in dependence on the temperature by means of thermodynamiccalculations. There are commercially available programs for suchcalculations, for example Termo-Calc™.

A thermodynamic computation unit is implemented in the computation unit4. From thermodynamic calculations a plurality of equations of thefollowing type is provided:

$\begin{matrix}{{{\% \mspace{14mu} {Me}_{1}} = {C_{1}*{{Exp}\left( {D_{1}/T_{eq}} \right)}}}{{\% \mspace{14mu} {Me}_{2}} = {C_{2}*{{Exp}\left( {D_{2}/T_{eq}} \right)}}}{{\% \mspace{14mu} {Me}_{3}} = {C_{3}*{{Exp}\left( {D_{3}/T_{eq}} \right)}}}\ldots {{\% \mspace{14mu} {Me}_{n}} = {C_{4}*{{Exp}\left( {D_{4}/T_{eq}} \right)}}}} & (2)\end{matrix}$

Where,

-   -   % Me_(n)=the content of dissolved alloying element n in the        alloy object, calculated in relation to the whole object.    -   T_(eq)=an equilibrium temperature,    -   C_(n), D_(n)=constants that depend on the actual composition of        the alloy object. The constants C_(n) and D_(n) are calculated        for each alloying element by means of thermodynamic        calculations.

Alternatively, it is possible to formulate it as if C_(n) and D_(n) arefunctions of the chemical composition of the alloy object:

$\begin{matrix}{{{\% \mspace{14mu} {Me}_{1}} = {{Fu}\; 1\left( {{{\% \mspace{14mu} {Me}_{1}} - {\% \mspace{14mu} {Me}_{n}}},T_{eq}} \right)}}{{\% \mspace{14mu} {Me}_{2}} = {{Fu}\; 2\left( {{\left( {{{\% \mspace{14mu} {Me}_{1}} - {\% \mspace{14mu} {Me}_{n}}},T_{eq}} \right)\% \mspace{14mu} {Me}_{3}} = {{Fu}\; 3\left( {{\left( {{{\% \mspace{14mu} {Me}_{1}} - {\% \mspace{14mu} {Me}_{n}}},T_{eq}} \right)\ldots \% \mspace{14mu} {Me}_{n}} = {{Fu}\; 4\left( \left( {{{\% \mspace{14mu} {Me}_{1}} - {\% \mspace{14mu} {Me}_{n}}},T_{eq}} \right) \right.}} \right.}} \right.}}} & (3)\end{matrix}$

It is also possible to calculate the content of precipitated alloyingelements in the alloy, as the composition of the precipitations is knownfrom the thermodynamic computations, and since we know the total contentof each alloying element in the alloy. The content % Me_(np) ofprecipitated alloying element n in the alloy object is calculated by thefollowing expression:

% Me _(np)=% Me _(n)−% Me _(n)   (4)

% Me_(n)=the total content of the alloying element n in the metal alloyobject.

% Me_(n) =the content of dissolved alloying element n in the metal alloyobject.

% Me_(np) =the content of precipitated alloying element n in the metalalloy object.

The expressions 2 and 3 make it possible to calculate the percentage ofdissolved alloying elements in the alloy object at different equilibriumtemperatures T_(eq). A problem is then that this equilibrium temperatureT_(eq) is ambiguous. When the temperature is high, about 500 degrees,the speed of the processes in the material is so high that the processesare almost always in equilibrium. In the contrary case, at roomtemperature the processes in the material are so slow that there israrely equilibrium in the processes. If a metal alloy sheet is quicklycooled from 500° C. to room temperature, the solubility that existed at500° C. will be preserved in the material (a supersaturated solution).But if the sheet is cooled slowly, the solubility will be decreased.This means that an object observed at room temperature appears to havedifferent equilibrium temperatures in dependence on which cooling rateit has gone through.

The following expression relates the resistivity ρ_(RT) at the referencetemperature, to the content % Me_(n) of dissolved alloying elements:

ρ_(RT)=ρ_(Bas) +E ₁*% Me ₁ +E ₂*% Me ₂ + . . . . +E _(n)*% Me _(n)   (5)

ρ_(Bas) is the resistivity of the main component.

E_(n) are constants, denoted the resistivity constant, that reflect thestrength of the influence of the alloying elements on the resistivity.The constants E_(n) are known, for example, from published tables. Forexample, the resistivity constant for zinc is 2.1nΩm/at % and theresistivity constant for magnesium is 60nΩm/at %.

Mostly the content of precipitations is low, which means that theresistivity of the main component is the same as for the total alloy. Ifthe content of precipitations is so large that they will influence thecalculations, the average resistivity for a unit tube is calculatedbased on the resistivity of the main component, the percentage by volumeof the precipitations, and the resistivity. Generally, theprecipitations are bad conductors in relation to the main component, sothey can be considered to be non-conducting. The total volume Vol_(TOT)of the precipitations can then be added and computed as non-conducting.We can then use the expression:

ρ_(RT)=ρ_(Bas)/(1−VOl_(TOT))  (6)

By means of the expressions 2 or 3 and 5 or 6, the thermodynamiccalculations of the coefficients C_(n), D_(n), and the measuredresistivity, it is now possible to determine the equilibrium temperatureT_(EQ) appearing. The expressions 2 or 3 and 5 or 6 are calculatediteratively by guessing a suitable value of the equilibrium temperatureT_(EQ). The calculated resistivity is compared with the measuredresistivity, which has been compensated for the temperature. Theiterative calculation continuous until the calculated resistivitycorresponds to the measured resistivity. Thereby, a real value of theequilibrium temperature is obtained. By means of the calculatedequilibrium temperature, the known contents of the alloying elements inthe alloy object and again thermodynamic computations, the content ofdissolved alloying elements and precipitations are determined.

The strength of an alloy object is reflected by the following internalmechanical properties: the tensile strength, the yield strength and theelongation of the object. The strength of an alloy object is mainlydependent on the degree of cold working, i.e. the reduction during thecold working, and the content of dissolved alloying elements.

The computation unit also comprises means for executing mechanicalcomputations for calculation of one or more internal mechanicalproperties of the metal alloy object. The mechanical calculations arebased on a mechanical model of the metal alloy of the object. Themechanical model is, for example, of the following type:

Strength=Strength of the main component+A*Hu(ε)+(F ₁*% Me ₁ +F ₂*% Me ₂+F ₃*% Me ₃+ . . . . . ) (G _(A) Vol _(A) +G _(B) Vol _(B)+ . . . . )  (7)

ε=In(A ₀ /A _(F))   (8)

The strength can either be the tensile strength, the yield strength, orthe elongation. The strength of the main component is the tensilestrength, the yield strength, or the elongation of the main component.

A=a constant which depends on the alloy and can be calculated based onthe knowledge of the composition of the alloy.

Hu(c)=a function of the degree of reduction ε of the object during coldworking of the object, and is defined as the expression 8, where

A₀=the cross section area before the deformation.

A_(F) is the cross section area after the deformation.

A*Hu(ε) is normally described by a simple power function of and is knownfor common metals such as aluminum.

F₁,F₂,F₃=constants describing how the different alloying elements in themain phase influence the strength, and is to some degree possible to befound in known literature.

% Me₁, % Me₂, % Me₃=the calculated content of dissolved alloyingelements.

The last part of the expression 7, (G_(A)Vol_(A)+G_(B)Vol_(B)+ . . . . )describes how the precipitations influence the strength. The constantsG_(A), G_(B) describe the influence from different precipitations andVolA, VolB are the volume portions of the different precipitationscalculated above. The last part of the computation can often bedisregarded, but is necessary if the computations have to be exact. Independence on whether the yield strength or the tensile strength is tobe determined, different values of the constants G_(A), G_(B) are used.

The following equation can be used to calculate the tensile strengthσ_(tensile):

σ_(tensile)=σ_(tensile main component)+At*Hu(ε)+(Ft ₁*% Me ₁ +Ft ₂*% Me₂ +Ft ₃*% Me ₃+ . . . . . )+(Gt _(A) Vol _(A) +Gt _(B) Vol _(B)+ . . . .)   (9)

Where At, Ft_(n) and Gt_(N) are a setup of constants valid for tensilestrength calculation, and σ_(tensile main component) is the tensilestrength of the main component in the alloy.

The following equation can be used to calculate the yield strengthσ_(yield):

σ_(yield)=σ_(yield main componenet+) Ay*Hu(ε)+(Fy ₁*% Me ₁ +Fyt ₂*% Me ₂+Fy ₃*% Me ₃+ . . . . . )+(Gy _(A) Vol _(A) +Gy_(B) Vol _(B)+ . . . . )  (10)

Where Ay, Fy_(n) and Gy_(N) are a setup of constants valid for yieldstrength calculation, and a σ_(yield main component) is the yieldstrength of the main component in the alloy.

The strength calculated according to expression 7, 9 or 10 could be thetensile strength or the yield strength, with values on constants F_(n)and G_(N) different for tensile strength calculation and yield strengthcalculation. The values of those constants can sometimes be found in theliterature, but when not it is advisable to make laboratory tests wheresamples with different contents of dissolved alloying elements and withdifferent contents of precipitations are investigated in relation totensile strength or yield strength measured with standard technique.From such tests the values of constants can be determined for differentdegree of deformation.

In some instances, for instance when very high accuracy is needed indetermination of strength, the simple, linear, form of expression 7 isnot precise enough. More complicated relations between the parametersused in expression 7 then need to be formulated. Still it is generallyvalid that the strength will be a function of the strength of the maincomponent, the dissolved alloying elements in the main component and theamount and properties of the precipitates. And still it is generallyvalid that the amount of precipitates can be calculated as thedifference between total alloy content and dissolved alloy in the maincomponent, as in expression 4, once the type of precipitates have beendetermined, for instance from thermodynamic calculation.

The apparatus shown in FIG. 4 also comprises an operator panel 5. Thecomputed internal mechanical properties are transferred from thecomputation unit 4 to the operator's panel 5 and for example displayedon a display device of the panel.

The calculated mechanical properties can, for example, be used fordetermining the temperature and time for a heat treatment of an objectduring production thereof. For example, heat treatment of a metal alloysheet during production of the sheet. Today, the time and temperaturefor the heat treatment are calculated based on the degree of reductionof the sheet during rolling, the type of material and a desiredstrength. If this calculation also is based on a calculated strength,according to the method described above, the spread in the strengthafter the heat treatment could be considerably reduced. This means thatthe resistivity of the sheet has to be measured during the roilingprocess and the final strength has to be calculated for different heattreatments.

FIG. 5 shows a tension leveling machine for producing an alloy strip 9.The machine comprises an incoming coil 10, a leveling machine 11, aheater 12, which for example inductively heats the strip 9, aresistivity measuring device 4, an alignment device 14, and an outgoingcoil 15. The implementation of the invention in a stretching machinemakes it possible to soften strips, which tend to be too stiff.Preferably, the strips are made stiffer than desired from the beginning,and the strips are later softened by means of heat treatment in theheater 12. The estimated strength is then used to estimate how muchsoftening is necessary, in order to achieve the desired stiffness of thematerial. The temperature needed for the softening is rather low, forexample 250° C. should be well enough. With this kind of heat treatmentit is possible to essentially increase the accuracy of the strength forproduced strips.

FIG. 6 is a flow diagram illustrating a method and a computer programproduct according to an embodiment of the present invention. It is to beunderstood that each block of the flow diagram can be implemented bycomputer program instructions run on one or more computers.

Before the calculation begins the chemical composition % Me₁, % Me₂, . .. % Me_(n) of the metal alloy object is received and stored, block 19.Measurements of the resistivity p_(m) and temperature T of the objectare continuously received from the production process, block 20. Theresistivity is recalculated to the reference temperature T_(R), in thiscase to 20° C., according to formula 1, block 22.

The equilibrium temperature T_(EQ) is calculated by means of theexpressions 2 or 3 and 5, based on the measured resistivity p_(RT) andthe stored chemical composition % Me₁, %Me₂, . . . % Me_(n) of the metalalloy object, block 24. Thereafter, for each alloying element in theobject, the content % Me_(n) of the dissolved alloying element in thealloy object is calculated by means of the expression 2 or 3, based onthe calculated equilibrium temperature T_(EQ), block 26.

The yield strength σ_(yield) is calculated according to the expression10 based on the calculated content % Me₁, % Me₂, . . . % Me_(n) of thedissolved alloying elements and the stored composition % Me₁, % Me₂, . .. % Me_(n) of the alloy object, block 28. The tensile strengthσ_(tensile) is calculated by means of the expression 9 based on thecalculated content % Me₁, % Me₂, . . . % Me_(n) of the dissolvedalloying elements and the stored chemical composition % Me₁, % Me₂, . .. % Me_(n) of the alloy object, block 30. The calculated yield strengthand tensile strength are presented to the operator, block 32. In analternative embodiment, the yield strength and tensile strength are usedas a base for further calculations to be used for controlling theproduction of the object, in order to improve the quality of theproduced object.

In order to supervise a production process for producing a metal alloyobject the ratio R between the content of dissolved alloying element nand the content of precipitated alloying element n in the metal alloyobject is calculated and presented to an operator.

R _(n)=% Me _(n)/% Me _(np)   (11)

Alternatively, the sum of the ratio for all alloying elements in theobject is calculated and used for the supervision of the productionprocess.

The present invention makes it possible to predict internal mechanicalproperties from resistivity measurements or conductivity measurements,analysis of the chemical composition, and the degree of reduction. Andhere we have been able to calculate the amount of dissolved andprecipitated elements, using the analysis, and thermodynamiccalculation.

The term comprises/comprising when used in this specification is takento specify the presence of stated features, integers, steps orcomponents. However, the term does not preclude the presence or additionof one or more additional features, integers, steps or components orgroups thereof.

1-22. (canceled)
 23. A computer program product, comprising: a computerreadable medium; and computer program instructions recorded on thecomputer readable medium and executable by a processor for carrying outa method of estimating one or more internal mechanical properties of ametal alloy object with a known chemical composition based on theresistivity of the metal alloy object, the method comprising:determining the resistivity of the metal alloy object, calculating thecontent of dissolved alloying elements in the metal alloy object basedon the determined resistivity and the chemical composition of the metalalloy object, and based thereon calculating at least one internalmechanical property of the metal alloy object. 24-33. (canceled)
 34. Amethod for supervising a process for producing a metal alloy object witha known chemical composition, the method comprising: determining aresistivity of the metal alloy object, estimating a content of dissolvedalloying elements in the metal alloy object based on the determinedresistivity and the chemical composition of the metal alloy object,estimating a content of precipitated alloying elements in the metalalloy object based on the determined resistivity and the chemicalcomposition of the metal alloy object, and supervising the productionprocess based on a ratio between the estimated content of dissolvedalloying elements and the estimated content of precipitated alloyingelements.
 35. The method according to claim 34, further comprising:presenting the estimated contents of dissolved and precipitated alloyingelements in the metal alloy object to an operator.
 36. The methodaccording to claim 34, further comprising: calculating a ratio betweenthe estimated content of dissolved alloying elements and the estimatedcontent of precipitated alloying elements and presenting the calculatedratio to an operator.